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Finding the Fourth Proportional to 524.15, 723.16 and 374.65

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Solution

The fourth proportional to 524.15, 723.16 and 374.65 is: 516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 723.16 = 374.65 : x
  2. Step 2: Convert to fraction form
    524.15/723.16 = 374.65/x
  3. Step 3: Cross multiply
    524.15x = 723.16 × 374.65
  4. Step 4: Simplify right side
    524.15x = 270,926.40
  5. Step 5: Solve for x
    x = 270,926.40/524.15
  6. Step 6: Final answer
    x = 516.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.